100 Points Linear Equations

1.) Write the equation of a line in point-slope form that has a slope of 3 and goes through the point (2,-4).

2.) Write the equation of a line in point-slope form that has a slope of -1/4 and a y-intercept of 5.

3.) Check Image below

4.) Check Image below

Answer:

Percentage of heads = 42 %

Net loss = $16

Step-by-step explanation:

Given:

Total number of tosses = 100

Number of heads come = 42

Number of tails come = 58

Find:

Percentage of heads

Net loss

Computation:

Percentage of heads = Number of heads come / Total number of tosses

Percentage of heads = 42 / 100

Percentage of heads = 42 %

Net loss = 58(1) - 42(1)

Net loss = $16

Answer:

the answer is 76

Step-by-step explanation:

We are given:

We know that the sum of all interior angles of a Pentagon is 540°

we are given 4 out of the 5 angles

Solving for x:

since the sum of all 5 angles is 540°:

75 + 130 + 135 + x + 90 = 540

x + 430 = 540

x = 540 - 430

x = 110°

Answer:

28.6918 or 28.69

Step-by-step explanation:

Answer:

$28.69

Step-by-step explanation:

First, let's find how much 18% of $34.99 is. We can do this in one step by multiplying 34.99 by .18.

[tex]34.99*.18=6.30[/tex]

Now, just subtract the sale from the original cost.

[tex]34.99-6.30=28.69[/tex]

Mina paid $28.69.

I hope this helps!

Answer:

0.02683<x<0.133173

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = p ± z√p(1-p)/n

p is the proportion

z is the confidence interval at 95% confidence

n is the sample size

Since it is found that a sample of size 100 yields 8 defectives, the sample proportion p = 8/100 = 0.08

Given

n = 100

z score = 1.96

p = 0.08

1-p = 1-0.08 = 0.92

Required

95% confidence interval

Substitute the given parameters into the formula as shown;

CI = p ± z√p(1-p)/n

CI = 0.08 ± 1.96√0.08(0.92)/100

CI = 0.08 ± 1.96√0.0736/100

CI = 0.08 ± 1.96(0.027129)

CI = 0.08 ± 0.053173

CI = (0.08-0.053173, 0.08+0.053173)

CI = (0.02683, 0.133173)

Hence the 95% confidence intervals for the proportion of defective items is 0.02683<x<0.133173

It's the first one :))

Answer:

2.7w - 14.04

Step-by-step explanation:

Distribute the 2.7

The question is incomplete.Here is the complete question.

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?

Answer: It must be 392 inches or approximately 33 feet.

Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of proportionality, i.e., if divided, the result is a constant.

For the first load:

width = 6in

height = 4in

length = 13ft or 156in

weight = 800lbs

Then, constant will be:

[tex]\frac{6.4^{2}}{156} k = 800[/tex]

[tex]k=\frac{800.156}{96}[/tex]

k = 1300

For the similar beam:

[tex]\frac{8.7^{2}}{L}1300=1300[/tex]

L = 49.8

L = 392in or 32.8ft

A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.

Answer:

14 children, 5 women, 1 man

Step-by-step explanation:

14 children which gives us 7 loves. 1 man which gives us 3 loves. 5 women which gives us 10 loves.

People: 14 + 1 + 5 = 20

Loves: 7 + 3 + 10 = 20

The number of men, women, and children among the 20 people would be as follows:

A). There are 5 women, 1 man, and 14 children.

Given that,

No. of bread pieces = 20

No. of people to be divided among = 20

We also know that,

1 man consumes = 3 pieces

1 woman consumes = 2 pieces

1 child consumes = 1/2 piece

Using the trial and error method, we can see that;

20 = (1 man × 3 pieces) + (5 women × 2 pieces each) + (14 × 1/2 piece each)

⇒ 20 = 3 + 10 + 7

∵ 20 = 20

Thus, option A is the correct answer.

Learn more about "Algebra" here:

brainly.com/question/14413003

The set up:

(0.25)(20) =

So, multiply.

Answer:

Step-by-step explanation:

Each one has a 25% chance, which is 0.25 times

Number of attempts is 20

Expected number is:

Answer/Step-by-step explanation:

7^3 or 7 cubed = 7 x 7 x 7

Expanded form turns a simplified problem back into an equation.

Answer:

24 units

Step-by-step explanation:

1) Separate this quadrilateral into 2 triangles

2) Multiply the height by the width of one of the triangle

- Multiply 8×3

= 24

Answer:

The imaginary part is:  z = 19

Step-by-step explanation:

For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.

Answer:

40/m

Step-by-step explanation:

I dont really know what I'm answering but there's that

(IF SOLVING FOR Y) y= x/2+2

(IF SOLVING FOR X) x=2y-4

Answer:

The width is 18 feet.

Step-by-step explanation:

You know that a rectangle has 4 sides.

L + L + W +W =84

24 +24 +2W   =84

48 +2W          =84

2W                 =84 - 48

W                     =18

Answer:

Bruh

Step-by-step explanation:

Lowest to highest.

Answer:

-43.6°, -37.4°F, -17°F, 37.3°F, 51.8°F, 52°F

Answer:

15% 30% 50% 75% 89%

Step-by-step explanation:

u change 0.15 to a function 15/100 then the one hungred below is persent

Answer:

They can write 3\4 of a speech in 1 hour

Step-by-step explanation:

Half of a half is 2/3 Split that in half and get 3\4

Answer:

b, c, e

Step-by-step explanation:

Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.

Answer:

B, c,e

Step-by-step explanation:

Hope this helps!

Answer:

7 to 8 months / most probably 8 months

7.5 months to be exact

Step-by-step explanation:

Hi there!! Let's work!

So lets Break it down,

Given: $40 every month

Prove: How many months till he has in total $300

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400 x (months) = $300 / (or how much ever we get)

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We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)

40 x 7 = 280

and

40 x 8 = 320

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So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.

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Answer:

y= 2x

Step-by-step explanation:

Find the slope of the original line and use the point slope fromula y-y1=m(x-x1) to find the line parallel to 2x-y=-1

Original

y=mx+b

y=2x +1

I think you meant false because all of them are right except for 1/2 is less than 1/3

Answer:

I believe the answers are= 2, 3, 6, 8

Step-by-step explanation:

For #2, you would subtract 2 from both sides. 10-2=8. x=8.

For #3, you would add 4 to both sides of the equation, making the final answer: x=8

For #6, you would divide both sides by 3. 24 divided by three is 8.

For #8, I multiplied the whole equation by 8, which is the denominator of x/8. 1 times 8=8. The final answer would be x=8.

Hope this helps!  

The equations whose solution is 8 will be x + 2 = 10, x - 4 = 4, 3x = 24, and x/8 = 1. Then the correct options are B, C, F, and H.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Let's check all the options. Then we have

A. x + 6 = 2, simplify the equation, then we have

x + 6 = 2

x = - 4

B. x + 2 = 10, simplify the equation, then we have

x + 2 = 10

x = 8

C. x - 4 = 4, simplify the equation, then we have

x - 4 = 4

x = 8

D. x - 2 = 10, simplify the equation, then we have

x - 2 = 10

x = 12

E. 2x = 4, simplify the equation, then we have

2x = 4

x = 2

F. 3x = 24, simplify the equation, then we have

3x = 24

x = 8

G. x/2 = 16, simplify the equation, then we have

x / 2 = 16

x = 32

H. x/8 = 1, simplify the equation, then we have

x/8 = 1

x = 8

The equations whose solution is 8 will be x + 2 = 10, x - 4 = 4, 3x = 24, and x/8 = 1. Then the correct options are B, C, F, and H.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ6

Answer:

4/2

Step-by-step explanation:

In order to find the answer you must multiple your whole number by the denominator and add that to the numerator.

Answers:

Describing the Error:

Choice B) The function is nonlinear and the increase in y is not constant.

Correcting the Error:

As x increases by a constant amount,  y   needs to increase or decrease by the same amount for the function to be linear.

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Explanation:

Each time x goes up by 2, y is being multiplied by 4.

It may appear y is increasing at a constant rate, but this is not true. The jump from y = 4 to y = 16 is +12; while the jump from y = 16 to y = 64 is +48. The increase in y is not the same each time. This is just a rephrasing of what is discussed in the "correcting the error" section above.

So this is why the function is nonlinear. It turns out that this function is an exponential. Specifically, this is the function y = 2^x. For instance, if x = 8, then y = 2^x = 2^8 = 256. Graphing this function produces a curve that isn't a straight line, which is visual confirmation the function is nonlinear.

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = [tex]\frac{2}{5}[/tex]

y - 4 = [tex]\frac{2}{5}[/tex] ( x - 5 )

y = [tex]\frac{2}{5}[/tex] x + 2